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14104640 = 265114007
BaseRepresentation
bin110101110011…
…100001000000
3222112120221002
4311303201000
512102322030
61222151132
7230613254
oct65634100
928476832
1014104640
117a64030
1248824a8
132bcac54
141c32264
151389245
hexd73840

14104640 has 56 divisors (see below), whose sum is σ = 36649152. Its totient is φ = 5127680.

The previous prime is 14104637. The next prime is 14104687. The reversal of 14104640 is 4640141.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 5523.

Almost surely, 214104640 is an apocalyptic number.

14104640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324576).

14104640 is an abundant number, since it is smaller than the sum of its proper divisors (22544512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14104640 is a wasteful number, since it uses less digits than its factorization.

14104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14104640 is about 3755.6144637063. The cubic root of 14104640 is about 241.6132063012.

Adding to 14104640 its reverse (4640141), we get a palindrome (18744781).

The spelling of 14104640 in words is "fourteen million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 4007 8014 16028 20035 32056 40070 44077 64112 80140 88154 128224 160280 176308 220385 256448 320560 352616 440770 641120 705232 881540 1282240 1410464 1763080 2820928 3526160 7052320 14104640